Pith Number

pith:AAV5PJ6R

pith:1993:AAV5PJ6RDLKXKURGMMMBPCNN35

not attested not anchored not stored refs pending

Maximal Mean Field Solutions in the Random Field Ising Model: the Pattern of the Symmetry Breaking

E. Marinari, G. Parisi, M. Guagnelli

arxiv:cond-mat/9303042 v1 · 1993-03-23 · cond-mat · hep-lat · hep-th

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AAV5PJ6RDLKXKURGMMMBPCNN35}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-04T15:55:12.908907Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

002bd7a7d11ad575522663181789addf41bc3b743b3aa5417b74238fbc328ce8

Aliases

arxiv: cond-mat/9303042 · arxiv_version: cond-mat/9303042v1 · doi: 10.48550/arxiv.cond-mat/9303042 · pith_short_12: AAV5PJ6RDLKX · pith_short_16: AAV5PJ6RDLKXKURG · pith_short_8: AAV5PJ6R

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/AAV5PJ6RDLKXKURGMMMBPCNN35 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 002bd7a7d11ad575522663181789addf41bc3b743b3aa5417b74238fbc328ce8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5dbfc7ed6b204450c8af31f983d35845110de1823e8cdd189b8c7cbe5190e866",
    "cross_cats_sorted": [
      "hep-lat",
      "hep-th"
    ],
    "license": "",
    "primary_cat": "cond-mat",
    "submitted_at": "1993-03-23T16:30:22Z",
    "title_canon_sha256": "a5f3f407036358bb68b265a75b09baf72ef8a872802af45b4e8584ae93acaaae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/9303042",
    "kind": "arxiv",
    "version": 1
  }
}